Wiktionary
vb. (context idiomatic transitive English) To become more likeable to someone.
Usage examples of "grow on".
The missletoe is dependent on the apple and a few other trees, but can only in a far-fetched sense be said to struggle with these trees, for if too many of these parasites grow on the same tree, it will languish and die.
And he was not awake to see the huge dark green ball grow on the pilot's vision plate, develop wide continents and narrow seas—.
And he was not awake to see the huge dark green ball grow on the pilot's vision plate, develop wide continents and narrow seasthe land choked with the dense green of forests, vast virgin forests that more civilized planets had long since forgotten existed.
McMurtry has allowed few adverbial dandelions to grow on his lawn.
Nothing'll grow on the bank and every Spring I've got to net dead pollywogs out of it.
They worked very hard, then, to prove that grapes can grow on thornbushes.
Todd leaned forward, elbows on knees, watching the planet and its moons grow on the viewscreen.